37825536 has 88 divisors (see below), whose sum is σ = 115287040. Its totient is φ = 10801152.

The previous prime is 37825531. The next prime is 37825537. The reversal of 37825536 is 63552873.

It is a junction number, because it is equal to n+sod(n) for n = 37825494 and 37825503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37825531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20625 + ... + 22383.

It is an arithmetic number, because the mean of its divisors is an integer number (1310080).

Almost surely, 2^37825536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57643520).

37825536 is an abundant number, since it is smaller than the sum of its proper divisors (77461504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37825536 is a wasteful number, since it uses less digits than its factorization.

37825536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1771 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 37825536 is about 6150.2468243153. The cubic root of 37825536 is about 335.6822392657.

The spelling of 37825536 in words is "thirty-seven million, eight hundred twenty-five thousand, five hundred thirty-six".